Uncertainty in Artificial Intelligence
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Possibilistic logic bases and possibilistic graphs
Salem Benferhat, Didier Dubois, Laurent Garcia, Henri Prade
Possibilistic logic bases and possibilistic graphs are two different frameworks of interest for representing knowledge. The former stratifies the pieces of knowledge (expressed by logical formulas) according to their level of certainty, while the latter exhibits relationships between variables. The two types of representations are semantically equivalent when they lead to the same possibility distribution (which rank-orders the possible interpretations). A possibility distribution can be decomposed using a chain rule which may be based on two different kinds of conditioning which exist in possibility theory (one based on product in a numerical setting, one based on minimum operation in a qualitative setting). These two types of conditioning induce two kinds of possibilistic graphs. In both cases, a translation of these graphs into possibilistic bases is provided. The converse translation from a possibilistic knowledge base into a min-based graph is also described.
Keywords: possibilistic logic, possibilistic graphs, fusion
Pages: 57-64
PS Link: http://cafe.newcastle.edu.au/salem/UAI99-version-finale.ps
PDF Link: /papers/99/p57-benferhat.pdf
AUTHOR = "Salem Benferhat and Didier Dubois and Laurent Garcia and Henri Prade",
TITLE = "Possibilistic logic bases and possibilistic graphs",
BOOKTITLE = "Proceedings of the Fifteenth Conference Annual Conference on Uncertainty in Artificial Intelligence (UAI-99)",
PUBLISHER = "Morgan Kaufmann",
ADDRESS = "San Francisco, CA",
YEAR = "1999",
PAGES = "57--64"

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